6849122631700 has 72 divisors (see below), whose sum is σ = 15149058757560. Its totient is φ = 2686886092800.

The previous prime is 6849122631683. The next prime is 6849122631713. The reversal of 6849122631700 is 71362219486.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 2500054296336 + 4349068335364 = 1581156^2 + 2085442^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13104996 + ... + 13617604.

It is an arithmetic number, because the mean of its divisors is an integer number (210403593855).

Almost surely, 2^{6849122631700} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6849122631700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7574529378780).

6849122631700 is an abundant number, since it is smaller than the sum of its proper divisors (8299936125860).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6849122631700 is a wasteful number, since it uses less digits than its factorization.

6849122631700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515197 (or 515190 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

The spelling of 6849122631700 in words is "six trillion, eight hundred forty-nine billion, one hundred twenty-two million, six hundred thirty-one thousand, seven hundred".